Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #452×C71 ⋊ C2 |
| Sylow | C71 ⋊ #3007 |
754 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,e^b=eg,h^c=h^70,h^d=h^70697 conjugacy classes — view the full character table.
| maximal subgroup of | #3007×D71, C2×#22597597, #32863840, … |
| maximal normal subgroup of | #3007×D71, C2×#22597597, #32863840, … |
| maximal quotient of | #31969852, #31969891, #31969930, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13767);